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Remarks on superlinear boundary value problems
Published online by Cambridge University Press: 17 April 2009
Abstract
Necessary and sufficient conditions for the weak solvability of the Dirichlet problem for nonlinear differential equations of the second order are proved. The differential operators considered are in the form of a sum of a linear noninvertible operator, with the null-space generated by a positive function, and a monotone nonlinear perturbation, the growth of which is more than linear.
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- Copyright © Australian Mathematical Society 1977
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